Do finite Bruck loops behave like groups?
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 337-346
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This note contains Sylow's theorem, Lagrange's theorem and Hall's theorem for finite Bruck loops. Moreover, we explore the subloop structure of finite Bruck loops.
This note contains Sylow's theorem, Lagrange's theorem and Hall's theorem for finite Bruck loops. Moreover, we explore the subloop structure of finite Bruck loops.
Classification :
20B05, 20N05
Keywords: finite loops; finite Bruck loops; finite Bol loops; finite $A_r$-loops; classical theorems for finite loops
Keywords: finite loops; finite Bruck loops; finite Bol loops; finite $A_r$-loops; classical theorems for finite loops
Baumeister, B. Do finite Bruck loops behave like groups?. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 337-346. http://geodesic.mathdoc.fr/item/CMUC_2012_53_3_a1/
@article{CMUC_2012_53_3_a1,
author = {Baumeister, B.},
title = {Do finite {Bruck} loops behave like groups?},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {337--346},
year = {2012},
volume = {53},
number = {3},
mrnumber = {3017834},
zbl = {1257.20066},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2012_53_3_a1/}
}